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arXiv · 1303.2828

Maximal Chains of Isomorphic Suborders of Countable Ultrahomogeneous Partial Orders

Milos S. Kurilic·Borisa Kuzeljevic
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Abstract

We investigate the poset (P(X),\subset), where P(X) is the set of isomorphic suborders of a countable ultrahomogeneous partial order X. For X different from (resp. equal to) a countable antichain the order types of maximal chains in (P(X)\cup \{\emptyset \},\subset) are characterized as the order types of compact (resp. compact and nowhere dense) sets of reals having the minimum non-isolated.

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Milos S. Kurilic, Borisa Kuzeljevic. 2013-03-12. Maximal Chains of Isomorphic Suborders of Countable Ultrahomogeneous Partial Orders. https://arxiv.org/abs/1303.2828

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